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Finding the Fourth Proportional to 577.01, 864.83 and 302.96

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Solution

The fourth proportional to 577.01, 864.83 and 302.96 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 864.83 = 302.96 : x
  2. Step 2: Convert to fraction form
    577.01/864.83 = 302.96/x
  3. Step 3: Cross multiply
    577.01x = 864.83 × 302.96
  4. Step 4: Simplify right side
    577.01x = 262,005.25
  5. Step 5: Solve for x
    x = 262,005.25/577.01
  6. Step 6: Final answer
    x = 454.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.